Difference between revisions of "1992 IMO Problems/Problem 4"
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Revision as of 16:45, 12 November 2023
Problem
In the plane let 
be a circle, 
a line tangent to the circle , and 
a point on . Find the locus of all points 
with the following property: there exists two points 
, 
on such that is the midpoint of 
and is the inscribed circle of triangle 
.
Video Solution
https://www.youtube.com/watch?v=ObCzaZwujGw
Solution
Note: This is an alternate method to what it is shown on the video. This alternate method is too long and too intensive in solving algebraic equations. A lot of steps have been shortened in this solution. The solution in the video provides a much faster solution,
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.
